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katovenus [111]
3 years ago
9

My Homework Mr Thompson please help!!

Mathematics
1 answer:
Nady [450]3 years ago
4 0

Answers:

  1. C) Factored form
  2. C) Standard form
  3. D) The y intercept is -8
  4. B) Two solutions: x = -5 or x = 5
  5. B) Apply square root to both sides

=========================================

Explanations:

  • For problems 1 and 2, there's not much to say other than you'll just have to memorize those terms. Standard form is ax^2+bx+c in general. The exponents count down 2,1,0. Factored form is where we have two or more factors multiplying with each other. Think of something like 21 = 7*3 showing that 7 and 3 are factors of 21.
  • For problem 3, the y intercept is the last value. It's the constant value. Plug in x = 0 and you'll get y = -8 as a result. The y intercept always occurs when x = 0.
  • In problem 4, we apply the square root to both sides to get x = -5 or x = 5. The plus or minus is needed. This is because (-5)^2 = 25.
  • In problem 5, we apply the square root to both sides to undo the squaring operation.
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seropon [69]

Answer:

Second option

Third option

Fourth option

Step-by-step explanation:

We have the following quadratic function

f(x) =(x-1)(x+7)

Use the distributive property to multiply the expression

f(x) =x^2+7x-x-7

f(x) =x^2+6x-7

For a function of the form f (x) = ax ^ 2 + bx + c the x coordinate of the vertex is:

x =-\frac{b}{2a}

Then in this case the coordinate of the vertex is:

x =-\frac{6}{2(1)}

x =-3

To obtain the y coordinate of the vertex we evaluate the function at x = -3

f(-3) =(-3)^2+6(-3)-7

f(-3) =9-18-7

f(-3) =-16

Then the vertex is:  (-3, -16)

We can see in the graph that the zeros of the function are x=1 and x=-7

Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞

The function is positive for x and x> 1

The correct answers are:

Second option

Third option

Fourth option

7 0
3 years ago
Use deductive reasoning to show that the following procedure always produces the number 6. Procedure: Pick a number. Add 4 to th
Flauer [41]

Answer:

procedure always produces 6

Step-by-step explanation:

Let 'n' be the unknown number

Add 4 to the number : n+4

multiply the sum by 3.

multiply the sum n+4 by 3

3(n+4) is 3n+12

Now subtract 6, so we subtract 6 from 3n+12

3n+12-6=3n+6

finally decrease the difference by the tripe of the original number

triple of original number is 3n

3n+6-3n= 6

so the procedure always produces 6

5 0
3 years ago
The solution for the system equations 8x-6y=-32 and -8x+5y=36
Ghella [55]

Answer:

x=47, y=68

Step-by-step explanation:

Add the two equations. Then we get

-y=-68

y=68

Substituting the value of y in the first equation,

8x-6(68)=-32

8x-408=-32

8x=376

x=47

6 0
3 years ago
PLEASE HELP ME I BEGGING YOU PLEASE HELP I DO ANYTHING JUST HELP
babymother [125]

Answer:

First of all, the answer is E.

Step-by-step explanation:

Based on the graph, comment what you think for 2. X axis is number of cones, y is cost of the cones. ;)

8 0
3 years ago
Could you please help me with this problem?
NeTakaya

First Question:

Number of trapezoids - 6

Perimeter - 72

3 + 3 + 3 + 6 = <u>15</u>

3 + 3 + 3 + 3 + 6 + 6 = <u>24</u>

3 + 3 + 6 + 3 + 3 + 6 + 3 + 6 = <u>33</u>

15 + 24 + 33 = <u>72</u>

Second Question:

Number of cubes - 6

Surface area - 24 (probably 480 since it said <em>area</em>)

first cube - 6 ones

second cube - 8 ones

Third cube - 10 ones

you could do 6 + 8 + 10 = 24 or add up all the ones (1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1) and you will still get 24

(It said <em>area</em>, and area means to multiply so maybe its 6 x 8 x 10 = 480 and not 6 + 8 + 10)

Anyways have a good day/night :) I might be wrong, but I hope I helped at least a little

3 0
3 years ago
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